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Finding the Third Proportional to 172,836 and 359,466.75

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Solution

The third proportional to 172,836 and 359,466.75 is: 747,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,836 : 359,466.75 = 359,466.75 : x
  2. Step 2: Convert to fraction form
    172,836/359,466.75 = 359,466.75/x
  3. Step 3: Cross multiply
    172,836x = 359,466.75 × 359,466.75
  4. Step 4: Simplify right side
    172,836x = 129,216,344,355.56
  5. Step 5: Solve for x
    x = 129,216,344,355.56/172,836
  6. Step 6: Final answer
    x = 747,624.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.